420833280 has 384 divisors, whose sum is σ = 1635379200. Its totient is φ = 90243072.

The previous prime is 420833279. The next prime is 420833291. The reversal of 420833280 is 82338024.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085709 + ... + 4085811.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^420833280 is an apocalyptic number.

420833280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

420833280 is an abundant number, since it is smaller than the sum of its proper divisors (1214545920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420833280 is a wasteful number, since it uses less digits than its factorization.

420833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 420833280 is about 20514.2214085741. The cubic root of 420833280 is about 749.3821756416.

The spelling of 420833280 in words is "four hundred twenty million, eight hundred thirty-three thousand, two hundred eighty".